   Chapter 4, Problem 12RE Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 7–18, solve the given system of linear equations. 3 x + 0.5 y = 0.1 6 x + y = 0.2 3 x 10 − 0.05 y = 0.01

To determine

To calculate: The solution of the given system of linear equations consisting of 3x+0.5y=0.1,6x+y=0.2 and 3x100.05y=0.01.

Explanation

Given Information:

The system of equation is

3x+0.5y=0.16x+y=0.23x100.05y=0.01

Formula used:

Elementary row operations:

Type 1: Replacing the row Ri by aRi, where a is a nonzero number.

Type 2: Replacing the row Ri by aRi±bRj, where a is a nonzero number.

Calculation:

Consider the system of equation,

3x+0.5y=0.16x+y=0.23x100.05y=0.01

The augmented matrix for the given system of equations is

[30.50.1610.23/100.050.01]

Apply Gauss Jordan reduction method to get the solution of the given system of equation.

Simplify the first and second row by the operation R110R1,R25R2

[30.50.1610.23/100.050.01][305130513/100.050.01]

Further simplify the third row by the operation R3100R3

[30.50.1610.23/100.050.01]

Begin by the selection of the first nonzero element of first row and clearing its column

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